Answer:
Step-by-step explanation:
Let's write out a case for two specific questions being correct and the rest being incorrect:
,
The 
represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.
The 
represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.
The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.
We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): 
.
Therefore, the probability the student gets two questions correct is:
Hi there!
a. Find the displacement by plugging in the values of the interval:
f(2) - f(0) = 0 - 2 = -2 meters.
Average velocity is the slope, thus:
The average velocity for the interval is -1 m/s.
b. To find the speed at the endpoints, we must take the derivative to get the velocity equation:
f(t) = t² - 3t +2
f'(t) = 2t - 3, at t = 0, speed = |-3| = 3 m/s. At t = 2, speed = 2(2) - 3 = 1 m/s.
Acceleration is the second derivative, thus:
f''(t) = 2. The acceleration is 2 m/s² for both endpoints.
c. When the body changes direction, the first derivative changes signs. Thus:
0 = 2t - 3
3 = 2t, t = 1.5 sec. This is where the body changes direction.
Answer:
See below in bold.
Step-by-step explanation:
It looks like the third term should be -36.
The sequence is geometric.
The common ratio is -54/-81 = -36/-54 = -24/-36 = 2/3 .
The sum of the first 5 terms is
(-81) * (1 - (2/3)^5) / (1 - 2/3)
= -81 * 211/243 * 3
= -211.
A parallelogram has four sides with opposite sides being congruent. The formula for finding the perimeter is Side A + Side B + Side A + Side B
